EOG Review TasksName:Date:Block:
To show your understanding, you must complete the tasks below on a separate sheet of paper. You may complete the tasks in any order you would like.
I. Practice Sheets: (5 points each) Grab one of the following sheets from the binder on the front table. DO NOT write on the sheet. Complete at least 5 of the problems (more for extra credit) on a separate sheet of paper. You must show your work to receive credit!
a. Number Sense: ______
b. Expressions and Equations: ______
c. Geometry: ______
d. Ratios and Proportions: ______
e. Statistics and Probability: ______
II. Ratios and Proportions Scavenger Hunt: (15 points)______
Quietly walk around the room and complete the scavenger hunt on your own paper.
III. Write It Out!: (10 points)______
Create a study guide with all the vocabulary terms and formulas you can remember.
EOG Review TasksName:Date:Block:
To show your understanding, you must complete the tasks below on a separate sheet of paper. You may complete the tasks in any order you would like.
I. Practice Sheets: (5 points each) Grab one of the following sheets from the binder on the front table. DO NOT write on the sheet. Complete at least 5 of the problems (more for extra credit) on a separate sheet of paper. You must show your work to receive credit!
a. Number Sense: ______
b. Expressions and Equations: ______
c. Geometry: ______
d. Ratios and Proportions: ______
e. Statistics and Probability: ______
II. Ratios and Proportions Scavenger Hunt: (15 points)______
Quietly walk around the room and complete the scavenger hunt on your own paper.
III. Write It Out!: (10 points)______
Create a study guide with all the vocabulary terms and formulas you can remember.
EOG Review TasksName:Date:Block:
To show your understanding, you must complete the tasks below on a separate sheet of paper. You may complete the tasks in any order you would like.
I. Practice Sheets: (5 points each) Grab one of the following sheets from the binder on the front table. DO NOT write on the sheet. Complete at least 5 of the problems (more for extra credit) on a separate sheet of paper. You must show your work to receive credit!
a. Number Sense: ______
b. Expressions and Equations: ______
c. Geometry: ______
d. Ratios and Proportions: ______
e. Statistics and Probability: ______
II. Ratios and Proportions Scavenger Hunt: (15 points)______
Quietly walk around the room and complete the scavenger hunt on your own paper.
III. Write It Out!: (10 points)______
Create a study guide with all the vocabulary terms and formulas you can remember.
Expressions and Equations
6. What is the perimeter of the triangle below?
A. 12x – 3B. 12x – 1C. 10x + 1
7. Nina set a goal to walk at least 10 miles per week. She plans to walk the same distance (d) each weekday and a total of 9 miles each weekend. Which inequality shows all the possible values for d that would allow Nina to meet her goal?A. /
B. /
C. /
D. /
21. A school set a goal to collect at least $360 from an annual book sale. They have already collected $180 from the book sale. The school receives $3 for each book sold. If n represents the number of books the school still needs to sell in order to meet their goal, which inequality shows all the possible values of n?
A. x ≤ 180B. x ≤ 60C. x ≥ 40D. x ≥ 60
8. Jill paid $35 for a sweater. This was $5 less than twice what she paid for a pair of shorts. How much did Jill pay for the pair of shorts?
A. $15B. $20C. $25D. $40
9. The total bill for Mr. Johnson to eat at a restaurant was $16.42. He left a 20% tip. Which expression would calculate the amount of tip that Mr. Johnson left?
A. 16.42(0.02)B. 16.42(0.20)C. 16.42(0.80)D. 16.42(1.20)
10. What is the value of x in the equation
A. 23B. 25C. 44
14. Which expression is equivalent to –0.6(1.2x + 4.5) – 3(2.8x – 4)?
A. –9.12x + 9.3B. –9.12x + 41C. –7.68x + 9.3D. –7.68x + 41
15. What is the solution to the inequality - ?
A. x < –34B. x > –34C. x < 38D. x > 38
23. Hank’s age is 5 more than three times John’s age. Hank is 29 years old. How old is John?
A. 5B. 8C. 11D. 14
34. Which expression is equivalent to
A. B. C. D.
44. If , then what does equal?
A. 16B. 12C. 8D. 6
45. Phoebe is creating a border for a rectangular poster. The poster has a length that is 4 inches longer than its width, as shown below. If the perimeter of the poster is 60 inches (in.), what is the length of the poster?
A. 13 in.B. 15 in.C. 17 in.D. 19 in.
48. Which expression is equivalent to –3(4 – 2g) – 6?
A.–18 – 2gB.–18 + 6gC.–6 – 2gD.–6 + 6g
51. If j represents the original cost of a soccer jersey, which statement describes the equation?
A. Decreasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
B. Decreasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
C. Increasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
D. Increasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
52. What is the value of x in the equation 4x + 8 = 14?
A.1.5B.2C.5.5
Number Sense:
18. Mr. Richards has two cars that he changes the oil in every four months.
• During an oil change, each car needs quarts of oil.
• Each 5-quart container of oil costs $14.99.
Before tax, how much will the oil cost Mr. Richards for both cars in a year?
A. $44.97B. $80.94C. $89.94D. $107.93
22. Kim, Beth, and Jenny gave money to buy their mother a birthday gift. How much money did Jenny give to buy the gift?
• The gift cost $40.
• Kim gave 35% of the money for the gift.
• Beth gave of the money for the gift.
A. $5B. $11C. $14D. $15
35. A customer bought a package of 12 cookies for $5.40 at a bake sale. The customer also bought additional cookies at $0.50 per cookie. If the total cost of the cookies was $8.40, how many total cookies were purchased?
A. 6B. 12C. 18D. 24
38. Mr. Donahue needs pounds of flour to make 5 loaves of bread. He bought a 50-pound bag of flour that costs $64.99. About how much will Mr. Donahue spend on flour for a loaf of bread?
A. $1.17B. $5.85C. $6.50D. $58.49
43. Jane drove 230 miles at an average speed of 50 miles per hour. How many minutes was Jane driving?
A. 2.6 minutesB. 4.6 minutesC. 180 minutes D. 276 minutes
112. Which combination of events results in a 0 effect to the situation?
A.Arnold owes his sister $4, and he borrows $4 more from her.
B.Amy earned 8 points during a game and then had 8 points deducted.
C.Alex deposits $75 into an account which previously had a balance of $75.
D.Alice stands at the twenty-yard line on a football field and then moves forward 20 feet.
113. The hottest temperature recorded in a certain city was 110°F. The coldest recorded temperature in the same city was –34°F. What is the difference between these temperatures?
A.34° B.76°C.110°D.144°
114. Jerome studied math for of an hour, grammar for of an hour, science for of an hour, and history for of an hour. What was the total amount of time Jerome spent studying?
A. of an hour B. of an hour C.1 hours D.1 hours
115. What is the solution to
A.B. C. D.
116. Samantha needs to purchase 7 notebooks at $2.99 each and 5 pencils at $0.79 each. About how much will Samantha spend before sales tax?
A.$20.00B.$21.00 C.$25.00D.$28.00
117. / What is the value of the expression ?A. /
B. /
C. /
D. /
123. Shelley received $20. The next day she spent $4.25 to see a movie and $8.35 on dinner. The next week she earned $7.50 after chores. How much money did Shelley have after she finished her chores?
A.$5.10B.$7.40C.$14.90D.$20.10
126. What is the value of –2.12 – 6.84 + 4.19?
A.13.15B.4.77C.–4.77D.–13.15
138. Which decimal is equivalent to
A.0.135B.0.741C.1.350D.2.700
145. / Tina chose two points on this number line.If the distance between the two points is between 2 and 3 units, which pair of numbers could be the points Tina chose?
A. -3 and 1 B. -3 and -6 C. 3 and -4 D. 3 and 4
148. A 2 pound bag of grass seed covers of an acre. How much grass seed is needed for 1 acre?
A.12 pounds B.14 poundsC.16 poundsD.20 pounds
151. Brenda completed of a crossword puzzle in of an hour. If she continues at this same rate, which problem shows the number of crossword puzzles she could complete in one hour?
A.2 x 4B.x 4C.x 2D. x
157. Jessie has a container that contains cups of ice cream. How many cup servings of ice cream are in the container?
A.6B.50C.56
Ratios and Proportions
1. Hayley wants to purchase tile for the floor in a rectangular room that measures 15 feet by 14 feet. The tile costs $4.25 per square foot. Sales tax is 6.5%. What will be the total cost to cover Hayley’s floor with tile?
A. $950.51B. $892.50C. $580.13D. $220.75
2. A store purchased jeans for $15 a pair. The store increased the price of the jeans by 65%. One month later, the jeans were on sale for off the store price. How much would a customer pay for the jeans on sale?
A. $12.75B. $19.80C. $24.75 D. $29.70
4. Curtis earns $13 per hour. He receives a pay raise of 7%. Which expression will calculate the amount Curtis earns per hour after his raise?
A. 13 + 0.07B. 13 + 1.07C. 13(0.07)D. 13(1.07)
24. A theater offers a 15% student discount on its tickets. How much would a student ticket cost if a full price ticket is $8.00?
A. $6.85B. $6.80C. $6.50D. $6.00
27. Erin earns a 12% commission on the furniture she sells. On Monday, she sold $4,500 worth of furniture. Which expression could Erin use to calculate the amount of money she earned?
A. 4,500(0.12)B. 4,500(0.88)C. 4,500(1.12)
42. At a clothing store, jackets are on sale for 30% off. Sales tax is 5%. Which expression will calculate the total cost of a jacket with an original price of x?
A. x(0.35)B. x(0.75)C. x(0.70)(1.05)D. x(0.70)(0.05)
147. The chart below shows the number of seats in the cafeteria based on the number of tables in the cafeteria.
Number ofTables (x) / Number of
Seats (y)
8 / 96
12 / 144
16 / 192
Which equation calculates the number of seats in the cafeteria when there are xnumber of tables?
A.y = 8xB.y = 12xC.y = 16xD.y = 48x
149. Meredith deposited $200 into an account. The account pays simple interest at a rate of 6%. How much money will be in Meredith’s account at the end of 7 years?
A.$213B.$219C.$242D.$284
150. Janice is traveling at a constant rate. She traveled 243 miles on 9 gallons of gas and 324 miles on 12 gallons of gas. How many miles can Janice travel on one gallon of gas?
A.24 milesB.27 milesC.30 miles
155. The regular price of a computer monitor is $185. It is on sale for 15% off. Sales tax is 8%. What is the cost of the computer monitor after the discount and sales tax are applied?
A.$172.05 B.$169.83C.$157.25 D.$144.67
158. A chemist weighed an object and found its mass to be 225 grams. The object’s actual mass is 250 grams. What was the chemist’s percent of error?
A.25%B.11%C.10%
159. Larry drove 225 miles in 4.5 hours and 375 miles in 7.5 hours. Based on Larry’s rate, which equation will calculate the distance Larry drives, d, in t hours?
A.t = 50dB.d = 50tC.dt = 50
160. In 1992, the population in a town was 8,000 people. In 1997, the population was 14,000. What was the percent increase in the population?
A.43%B.57%C.75%D.133%
164. The results of a survey of seventh-grade students and the type of music they prefer are in the table.
Type of Music / Number of StudentsRock / 20
Pop / 13
Country / 15
Classical / 2
If there are 500 seventh-grade students in one school, how many can be expected to prefer country music?
A.100B.150C.200D.250
165. A sweater regularly costs $45. It is on sale for 25% off. What is the sale price of the sweater, before tax?
A.$11.25B.$22.50C.$30.50D.$33.75
168. Ryan worked for 7 hours and earned $52.50. If this rate increases by 4%, what will he earn if he works for 8 hours?
A.$54.60B.$60.00C.$60.30D.$62.40
169. The number of gallons of gasoline purchased are shown in the table below.
Gallons of Gasoline / Cost6.4 / $20.80
8.2 / $26.65
11.8 / $38.35
15.6 / $50.70
What is the price for one gallon of gasoline?
A.$3.00B.$3.20C.$3.25D.$3.45
171. The graph to the right shows t, the total cost in dollars of purchasing n concert tickets. Which point represents the cost in dollars for 1 concert ticket?
A.(1,21)B.(3,63)
C.(21,1)D.(63,3)
Geometry
56. What is the approximate area of a circle with a radius of 1.6 cm?
A. 3 cm²B. 5 cm²C. 8 cm²D. 10 cm²
60. A circular pool has a radius of 6 ft. What is the approximate circumference of the pool?
A. 19 ftB. 38 ftC. 113 ftD. 452 ft
61. Line WZ and line XY intersect in the figure below. What is the measure of ∠XEZ?
A. 127°B. 117°C. 63°D. 27°
62. A fish tank, in the shape of a rectangular prism, has dimensions of 11 in. by 9 in. by 10 in. About how much water will the fish tank hold?
A. 100 in.³B. 500 in.³C. 1,000 in.³
64. What is the surface area of a right rectangular prism with dimensions 2 ft by 3 ft by 2 ft?
A. 12 feetB. 16 feetC. 24 feetD. 32 feet
65.∠GHJ and ∠JHK are adjacent angles. ∠GHK measures 73°. What is the measure of ∠GHJ?
A. 17°B. 19°C. 54°D. 57°
67. Jacob made a drawing of his land using a scale 1 inch = 14 yards. The actual length of his land is 84 yards long. What is the length of Jacob’s land in the drawing?
A. 6 inchesB. 28 inches C. 70 inchesD. 98 inches
68. Natasha stands 5.5 feet tall and has a shadow that measures 3 feet long. At the same time, a tree next to Natasha has a shadow that measures 12 feet long. How tall is the tree?
A. 7 feetB. 15 feetC. 22 feet
102. Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of the door which measures 3 feet by 4 feet that will remain tiled. How many square feet of carpet will Martha need?
A. 236 ft²B. 224 ft²C. 217 ft²D. 212 ft²
72. The length of a side of a cube is 4 in. What is the surface area of the cube?
A. 16 in.²B. 64 in.²C. 96 in.²
73. Jimmy made a scale drawing of his house. The actual dimensions of his house are 50 feet by 100 feet. He used the scale 1 inch : 10 feet. What are the dimensions of Jimmy’s house in the drawing?
A. 50 inches by 100 inches
B. 50 inches by 10 inches
C. 5 inches by 100 inches
D. 5 inches by 10 inches
74.What is the surface area of the rectangular prism below?
A. 79 in.²B. 120 in.²C. 158 in.²
75. Two angles are supplementary. If one angle measures 72°, what is the measure of the other angle?
A. 18°B. 72°C. 108°D. 144°
77. A flower pot has a circumference of 35 inches. What is the approximate length of the radius of the flower pot?
A. 3.3 inchesB. 5.6 inchesC. 6.8 inchesD. 11.1 inches
83. Which set of angle measures could be the interior angles of a triangle?
A. 25°, 30°, 35°B. 35°, 60°, 75°C. 45°, 60°, 75°D. 60°, 90°, 120°
85. A scale drawing of a building is shown below. The scale of the drawing is 1 cm = 5 m.
What is the perimeter of the actual building?
A.150 mB.115 mC. 30 mD. 23 m
91. A design is composed of a triangle and 2 parallelograms. The triangle and the parallelograms have the same height.
What is the area of the design in square centimeters (sq cm)?
A. 14B. 21C. 28D. 35
92. A right rectangular prism has a volume of 45 cubic feet. The base of the prism is 30 inches wide and 36 inches long. What is the height of the prism?
A. 8 feetB. 6 feetC. 3 feetD. 2 feet
94. Which group of line segments could form a triangle?
A. 3 inches, 4 inches, and 7 inches
B. 4 inches, 4 inches, and 8 inches
C. 5 inches, 7 inches, and 9 inches
D. 7 inches, 9 inches, and 17 inches
96. Mrs. Smith has a cardboard box in the shape of a rectangular prism.
• She plans to cover it with paper.
• The dimensions of the box are 3 in. by 4 in. by 6 in.
What is the minimum amount of paper needed to completely cover the box?
A. 54 in.²B. 72 in.²C. 108 in.²D. 156 in.²
110. A builder made a scale drawing of a rectangular room. The drawing has a length of 6 inches and a width of 4.5 inches. The actual room will have a length of 18 feet. What will be the area of the actual room?
A. 243 square feetB. 260 square feet C. 432 square feetD. 486 square feet
Expressions and Equations Answer Key
6. What is the perimeter of the triangle below?
A. 12x – 3B. 12x – 1C. 10x + 1
7. Nina set a goal to walk at least 10 miles per week. She plans to walk the same distance (d) each weekday and a total of 9 miles each weekend. Which inequality shows all the possible values for d that would allow Nina to meet her goal?A. /
B. /
C. /
D. /
21. A school set a goal to collect at least $360 from an annual book sale. They have already collected $180 from the book sale. The school receives $3 for each book sold. If n represents the number of books the school still needs to sell in order to meet their goal, which inequality shows all the possible values of n?
A. x ≤ 180B. x ≤ 60C. x ≥ 40D. x ≥ 60
8. Jill paid $35 for a sweater. This was $5 less than twice what she paid for a pair of shorts. How much did Jill pay for the pair of shorts?
A. $15B. $20C. $25D. $40
9. The total bill for Mr. Johnson to eat at a restaurant was $16.42. He left a 20% tip. Which expression would calculate the amount of tip that Mr. Johnson left?
A. 16.42(0.02)B. 16.42(0.20)C. 16.42(0.80)D. 16.42(1.20)
10. What is the value of x in the equation
A. 23B. 25C. 44
14. Which expression is equivalent to –0.6(1.2x + 4.5) – 3(2.8x – 4)?
A. –9.12x + 9.3B. –9.12x + 41C. –7.68x + 9.3D. –7.68x + 41
15. What is the solution to the inequality -
A. x < –34B. x > –34C. x < 38D. x > 38
23. Hank’s age is 5 more than three times John’s age. Hank is 29 years old. How old is John?
A. 5B. 8C. 11D. 14
34. Which expression is equivalent to
A. B. C. D.
44. If , then what does equal?
A. 16B. 12C. 8D. 6
45. Phoebe is creating a border for a rectangular poster. The poster has a length that is 4 inches longer than its width, as shown below. If the perimeter of the poster is 60 inches (in.), what is the length of the poster?
A. 13 in.B. 15 in.C. 17 in.D. 19 in.
48. Which expression is equivalent to –3(4 – 2g) – 6?
A.–18 – 2gB.–18 + 6gC.–6 – 2gD.–6 + 6g
51. If j represents the original cost of a soccer jersey, which statement describes the equation?
A. Decreasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
B. Decreasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
C. Increasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
D. Increasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
52. What is the value of x in the equation 4x + 8 = 14?
A.1.5B.2C.5.5
Number Sense Answer Key
18. Mr. Richards has two cars that he changes the oil in every four months.
• During an oil change, each car needs quarts of oil.
• Each 5-quart container of oil costs $14.99.
Before tax, how much will the oil cost Mr. Richards for both cars in a year?
A. $44.97B. $80.94C. $89.94D. $107.93
22. Kim, Beth, and Jenny gave money to buy their mother a birthday gift. How much money did Jenny give to buy the gift?
• The gift cost $40.
• Kim gave 35% of the money for the gift.
• Beth gave of the money for the gift.
A. $5B. $11C. $14D. $15
35. A customer bought a package of 12 cookies for $5.40 at a bake sale. The customer also bought additional cookies at $0.50 per cookie. If the total cost of the cookies was $8.40, how many total cookies were purchased?
A. 6B. 12C. 18D. 24
38. Mr. Donahue needs pounds of flour to make 5 loaves of bread. He bought a 50-pound bag of flour that costs $64.99. About how much will Mr. Donahue spend on flour for a loaf of bread?
A. $1.17B. $5.85C. $6.50D. $58.49
43. Jane drove 230 miles at an average speed of 50 miles per hour. How many minutes was Jane driving?
A. 2.6 minutesB. 4.6 minutesC. 180 minutes D. 276 minutes
112. Which combination of events results in a 0 effect to the situation?
A.Arnold owes his sister $4, and he borrows $4 more from her.
B.Amy earned 8 points during a game and then had 8 points deducted.
C.Alex deposits $75 into an account which previously had a balance of $75.
D.Alice stands at the twenty-yard line on a football field and then moves forward 20 feet.
113. The hottest temperature recorded in a certain city was 110°F. The coldest recorded temperature in the same city was –34°F. What is the difference between these temperatures?